The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  1  1  1  1  1  1  1  1  1 a^2*X  1  1  1  1  1  1  1  1  X  1
 0  1  1  a a^7*X+a^2 a^3 a^7*X+2 a^7*X+a^6 a^5 a^7  0 a^7 a^5 a^7*X+a^6 a^3  1  a a^7*X+a^2 a^7*X+1 a^7*X+2 a^7 a^7*X+a^6 a^7*X+a^2 a^3  1  a a^7*X+1 a^7*X+2 a^5 a^6*X+a^2 X+a^7  0 a^6*X+a^6 a^6*X+2  1 X+a a^7*X+1  X X+a X+a^5 X+a^3 a*X a^6*X+a^2 X+a^7 X+a a^6*X+a^2 2*X+2 X+a^5 a^6*X+1  1 a^3*X+2 X+a^3 X+a^5 X+a^7 a^7*X+2 a^2*X+a^7 a^5*X+2 a^6*X+a^3  1  0
 0  0 a^7*X  0 a^7*X  X a^6*X a^6*X 2*X a*X a^7*X a*X  X a*X  X  X a^6*X 2*X a^7*X a^2*X a^6*X 2*X  0 a*X 2*X 2*X  X a^6*X a*X  X 2*X a^3*X a*X a^3*X a^5*X a^5*X 2*X a^5*X a^5*X a^3*X a^7*X  X a^3*X a^2*X a*X 2*X  X a^3*X a^6*X 2*X a^7*X a*X  X a^7*X a^3*X  X a^5*X a^2*X a^2*X 2*X
 0  0  0  X a^7*X a^7*X  X a*X  X a^2*X a^5*X a^6*X a^5*X a^3*X  0 a^6*X a^2*X a^7*X a*X a^2*X a^5*X a*X a^6*X 2*X  0 a^2*X a*X a^6*X  X 2*X a^5*X 2*X  0  X a*X a*X 2*X 2*X  0 a^2*X  X  0 a^6*X a*X a^6*X  X a^2*X a^7*X 2*X a^5*X a^6*X a^2*X  X a^7*X a^5*X a*X 2*X  0 a^2*X 2*X

generates a code of length 60 over F9[X]/(X^2) who´s minimum homogenous weight is 450.

Homogenous weight enumerator: w(x)=1x^0+656x^450+72x^451+216x^452+288x^457+648x^458+9136x^459+2016x^460+2952x^461+3024x^466+4536x^467+35152x^468+7128x^469+7992x^470+16416x^475+18144x^476+118528x^477+20232x^478+20952x^479+32760x^484+29160x^485+156024x^486+23040x^487+20376x^488+608x^495+680x^504+344x^513+240x^522+88x^531+32x^540

The gray image is a linear code over GF(9) with n=540, k=6 and d=450.
This code was found by Heurico 1.16 in 33.5 seconds.